Young’s modulus, or storage modulus, is a mechanical property that measures the stiffness of a solid material. It defines the relationship between stress and strain in a material in the linear elasticity region of a uniaxial deformation.
Calculation of Young’s Modulus:
where:
E is Young’s modulus
σ is the uniaxial stress
ε is the strain along the direction of the applied stress
Relationship between the Elastic Moduli
E = 2G(1+μ) = 3K(1+2μ)
where:
E is Young’s modulus
G is the shear modulus
K is the bulk modulus
μ is the Poisson number
The figure depicts a given uniaxial stress for tensile (extension, left) or pressure (compression, right). A material with low stiffness (red) provides a higher deformation than a material with high stiffness (blue). Young’s modulus is a measure of the stiffness.
